On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle

DOI10.4153/CMB-2013-015-9zbMath1295.42014OpenAlexW2084773924MaRDI QIDQ5419258

Ole Christensen, Rae Young Kim, Hong Oh Kim

Publication date: 6 June 2014

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2013-015-9

zbMATH Keywords

framesBessel sequenceswavelet systemsunitary extension principleextension of wavelet Bessel system to tight frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (10)

On extensions of wavelet systems to dual pairs of frames ⋮ A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces ⋮ Univariate tight wavelet frames of minimal support ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\) ⋮ Extension of Weyl-Heisenberg wave packet Bessel sequences to dual frames in L^2(ℝ) ⋮ Nonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\) ⋮ A class of weak dual wavelet frames for reducing subspaces of Sobolev spaces ⋮ Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces ⋮ Expansion of weak reconstruction sequences to approximate Schauder frames for Banach spaces

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